Hidden Markov Models: PrimerIntroduces Hidden Markov Models, explaining the basic problems and algorithms like Forward-Backward, Viterbi, and Baum-Welch, with a focus on Expectation-Maximization.
Markov chainsCovers Markov chains, Monte Carlo sampling, isotropy, and the curse of dimensionality.
Markov Chains and ApplicationsExplores Markov chains, their properties, and algorithmic applications, emphasizing information quantification and state monotonicity.
Markov Chains and ApplicationsExplores Markov chains and their applications in algorithms, focusing on user impatience and faithful sample generation.
Linear Algebra: Canonical BasisExplores the canonical basis in linear algebra, focusing on matrix representation, diagonalizability, and characteristic polynomials.
Matrix Reduction: Part 1Covers the reduction of a linear transformation in a 2-dimensional space to find a simpler matrix representation.
Convergence Rate Theorem: Part 1Delves into the proof of the convergence rate theorem for an ergodic Markov chain, emphasizing eigenvalues and detailed balance properties.